{"id":"https://openalex.org/W2014775879","doi":"https://doi.org/10.2478/cmam-2009-0002","title":"Works of A.A. Samarskii on Computational Mathematics","display_name":"Works of A.A. Samarskii on Computational Mathematics","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2014775879","doi":"https://doi.org/10.2478/cmam-2009-0002","mag":"2014775879"},"language":"en","primary_location":{"id":"doi:10.2478/cmam-2009-0002","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0002","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0002/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0002/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110328268","display_name":"Petr N. Vabishchevich","orcid":"https://orcid.org/0000-0002-2040-4411"},"institutions":[{"id":"https://openalex.org/I86427540","display_name":"Keldysh Institute of Applied Mathematics","ror":"https://ror.org/01dv3hq14","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601","https://openalex.org/I86427540"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"P.N. Vabishchevich","raw_affiliation_strings":["1Institute for Mathematical Modelling, Russian Academy of Sciences, 4-A,Miusskaya Sq., 124047 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"1Institute for Mathematical Modelling, Russian Academy of Sciences, 4-A,Miusskaya Sq., 124047 Moscow, Russia","institution_ids":["https://openalex.org/I86427540"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110328268"],"corresponding_institution_ids":["https://openalex.org/I86427540"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11720581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"1","first_page":"5","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13785","display_name":"Aquatic and Environmental Studies","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8132693767547607},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6786762475967407},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.593288779258728},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45853906869888306},{"id":"https://openalex.org/keywords/natural-science","display_name":"Natural science","score":0.4222596287727356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4178754687309265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41317883133888245},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4103902578353882},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23006793856620789},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10887014865875244}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8132693767547607},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6786762475967407},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.593288779258728},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45853906869888306},{"id":"https://openalex.org/C193235544","wikidata":"https://www.wikidata.org/wiki/Q7991","display_name":"Natural science","level":2,"score":0.4222596287727356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4178754687309265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41317883133888245},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4103902578353882},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23006793856620789},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10887014865875244},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2478/cmam-2009-0002","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0002","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0002/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2478/cmam-2009-0002","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0002","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0002/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2014775879.pdf","grobid_xml":"https://content.openalex.org/works/W2014775879.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W72179873","https://openalex.org/W385499458","https://openalex.org/W622090884","https://openalex.org/W654224182","https://openalex.org/W1967520029","https://openalex.org/W2038446814","https://openalex.org/W2085533287","https://openalex.org/W2140438255","https://openalex.org/W2166547107","https://openalex.org/W2215350402","https://openalex.org/W2483090741","https://openalex.org/W2911409939","https://openalex.org/W4205604664","https://openalex.org/W4254708785","https://openalex.org/W4285719527","https://openalex.org/W4300794954"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W4387820098","https://openalex.org/W1996614773","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W2184046398"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"is":[2],"a":[3,107],"review":[4],"of":[5,46,52,60,65,74,80,85,91,110],"the":[6,16,36,42,49,66,72,81,136],"main":[7,37,67],"results":[8],"in":[9,41,71,104],"computational":[10],"mathematics":[11],"that":[12,39],"were":[13],"obtained":[14],"by":[15],"eminent":[17],"Russian":[18],"mathematician":[19],"Alexander":[20],"Andreevich":[21],"Samarskii":[22,62,97],"(February":[23],"19,":[24],"1919":[25],"\u2013":[26],"February":[27],"11,":[28],"2008).":[29],"His":[30],"outstanding":[31],"research":[32],"output":[33],"addresses":[34],"all":[35],"questions":[38],"arise":[40],"construction":[43,73],"and":[44,83,88,98,102,131],"justification":[45],"algorithms":[47,111],"for":[48,112],"numerical":[50],"solution":[51],"problems":[53,115],"from":[54,116,135],"mathematical":[55,78,117],"physics.":[56],"The":[57],"remarkable":[58],"works":[59],"A.A.":[61,96],"include":[63],"statements":[64],"principles":[68],"re-":[69],"quired":[70],"difference":[75],"schemes,":[76,87],"rigorous":[77],"proofs":[79],"stability":[82],"convergence":[84],"these":[86],"also":[89],"investigations":[90],"their":[92],"algorith-":[93],"mic":[94],"implementation.":[95],"his":[99],"collaborators":[100],"constructed":[101],"applied":[103],"practical":[105],"calculations":[106],"large":[108],"number":[109],"solving":[113],"various":[114],"physics,":[118,121,129],"including":[119],"thermal":[120],"gas":[122,125],"dynamics,":[123],"magnetic":[124],"dynam-":[126],"ics,":[127],"plasma":[128],"ecology":[130],"other":[132],"important":[133],"models":[134],"natural":[137],"sciences.":[138]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}